Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5360b |
Isogeny class |
Conductor |
5360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-428800000 = -1 · 211 · 55 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 -1 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1456,-21900] |
[a1,a2,a3,a4,a6] |
Generators |
[44:34:1] |
Generators of the group modulo torsion |
j |
-166792350818/209375 |
j-invariant |
L |
2.7063418347388 |
L(r)(E,1)/r! |
Ω |
0.38638626249937 |
Real period |
R |
3.5021196370086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2680e1 21440be1 48240v1 26800i1 |
Quadratic twists by: -4 8 -3 5 |